A direct model updating method for damped gyroscopic systems with preserved physical connectivity

In structural dynamics of gyroscopic systems, accurately modeling system behavior using finite element methods remains challenging due to uncertainties in system matrix parameters. Traditional methods for correcting such systems often rely on matrix inversion techniques, which struggle to maintain the system’s physical connectivity. This paper presents a novel direct updating method to correct the stiffness, gyroscopic, damping, and mass matrices of a damped gyroscopic system simultaneously, utilizing only a few measured modal data. The proposed approach inherently ensures the system’s physical interpretability and satisfies the no-spillover property. It is implemented by formulating a system of simultaneous linear equations to update the parameters of the system matrices, where the formulation of each equation relies on the multiplicative terms from two eigenvectors of analytical and experimental models, respectively. Numerical investigation demonstrates the method’s exceptional accuracy and computational efficiency, highlighting its potential for practical applications in dynamic gyroscopic system modeling and analysis.